Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 9 - Differential Equations - Review - True-False Quiz - Page 674: 1


$\bf True$.

Work Step by Step

$\bf True$. Because $y(x)^{4}\geq 0$ for all $x$, so that $-1-y^{4}$ is strictly negative for all values of $x$. Hence, if $y$ satisfies $y-=-1-y^{4}$, this means that $y'$ is strictly negative for all $x$ . By the first derivative test , this means that $y$ is decreasing.
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